Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450cd |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-9552558292992000 = -1 · 222 · 34 · 53 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33143,-5258419] |
[a1,a2,a3,a4,a6] |
Generators |
[315:3802:1] |
Generators of the group modulo torsion |
j |
-32209943913443717/76420466343936 |
j-invariant |
L |
7.0834746449374 |
L(r)(E,1)/r! |
Ω |
0.16513796067639 |
Real period |
R |
0.32495669974533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350cg1 21450bi1 |
Quadratic twists by: -3 5 |